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Finding the Fourth Proportional to 276.10, 413.63 and 230.74

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Solution

The fourth proportional to 276.10, 413.63 and 230.74 is: 345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.10 : 413.63 = 230.74 : x
  2. Step 2: Convert to fraction form
    276.10/413.63 = 230.74/x
  3. Step 3: Cross multiply
    276.10x = 413.63 × 230.74
  4. Step 4: Simplify right side
    276.10x = 95,440.99
  5. Step 5: Solve for x
    x = 95,440.99/276.10
  6. Step 6: Final answer
    x = 345.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.